Gabriele Viaggi

collaborators

3 papers

math.GT2025

Geometric components of representation spaces via robust families of submanifolds

Gabriele Viaggi

We introduce robust families of submanifolds for a linear Lie group $G$ . We show that they give rise to geometric subspaces of the representation space $Hom (Γ, G)$ . As an appl…

math.GT2024

Effective hyperbolization and length bounds for Heegaard splittings

Peter Feller, Alessandro Sisto, Gabriele Viaggi

We consider 3-manifolds given as Heegaard splittings $M = H^{-} \cup_{Σ} H^{+}$ with the aim to describe the hyperbolic metric of $M$ under topological conditions on the splitting guaranteei…

math.GT2024

Geometry of hyperconvex representations of surface groups

James Farre, Beatrice Pozzetti, Gabriele Viaggi

We study the geometry of hyperconvex representations of surface groups in $PSL (d, C)$ and their deformation spaces: We produce a natural holomorphic extension of the…